Search a number
-
+
13242636 = 22331171157
BaseRepresentation
bin110010100001…
…000100001100
3220220210111000
4302201010030
511342231021
61151500300
7220363161
oct62410414
926823430
1013242636
117525430
124527690
1329887a4
141a8a068
151268b26
hexca110c

13242636 has 96 divisors (see below), whose sum is σ = 38223360. Its totient is φ = 3931200.

The previous prime is 13242629. The next prime is 13242637. The reversal of 13242636 is 63624231.

13242636 is a `hidden beast` number, since 1 + 3 + 24 + 2 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13242637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84270 + ... + 84426.

It is an arithmetic number, because the mean of its divisors is an integer number (398160).

Almost surely, 213242636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13242636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111680).

13242636 is an abundant number, since it is smaller than the sum of its proper divisors (24980724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13242636 is a wasteful number, since it uses less digits than its factorization.

13242636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 13242636 is about 3639.0432808638. The cubic root of 13242636 is about 236.5873286490.

Adding to 13242636 its reverse (63624231), we get a palindrome (76866867).

The spelling of 13242636 in words is "thirteen million, two hundred forty-two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 71 99 108 132 142 157 198 213 284 297 314 396 426 471 594 628 639 781 852 942 1188 1278 1413 1562 1727 1884 1917 2343 2556 2826 3124 3454 3834 4239 4686 5181 5652 6908 7029 7668 8478 9372 10362 11147 14058 15543 16956 20724 21087 22294 28116 31086 33441 42174 44588 46629 62172 66882 84348 93258 100323 122617 133764 186516 200646 245234 300969 367851 401292 490468 601938 735702 1103553 1203876 1471404 2207106 3310659 4414212 6621318 13242636